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Finding the Third Proportional to 282,812.06 and 395,598.38

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Solution

The third proportional to 282,812.06 and 395,598.38 is: 553,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,812.06 : 395,598.38 = 395,598.38 : x
  2. Step 2: Convert to fraction form
    282,812.06/395,598.38 = 395,598.38/x
  3. Step 3: Cross multiply
    282,812.06x = 395,598.38 × 395,598.38
  4. Step 4: Simplify right side
    282,812.06x = 156,498,074,302.64
  5. Step 5: Solve for x
    x = 156,498,074,302.64/282,812.06
  6. Step 6: Final answer
    x = 553,364.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.